The rectifiable rectangular peg problem
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909981426581504 |
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| author | Asano, Tomohiro Ike, Yuichi |
| author_facet | Asano, Tomohiro Ike, Yuichi |
| contents | We give an affirmative answer to the rectangular peg problem for a large class of continuous Jordan curves that contains all rectifiable curves and Stromquist's locally monotone curves. Our proof is based on microlocal sheaf theory and inspired by recent work of Greene and Lobb. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_21057 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The rectifiable rectangular peg problem Asano, Tomohiro Ike, Yuichi Symplectic Geometry Geometric Topology Metric Geometry Primary 53D12, 51F99, Secondary 35A27 We give an affirmative answer to the rectangular peg problem for a large class of continuous Jordan curves that contains all rectifiable curves and Stromquist's locally monotone curves. Our proof is based on microlocal sheaf theory and inspired by recent work of Greene and Lobb. |
| title | The rectifiable rectangular peg problem |
| topic | Symplectic Geometry Geometric Topology Metric Geometry Primary 53D12, 51F99, Secondary 35A27 |
| url | https://arxiv.org/abs/2412.21057 |